When finding the length of the hypotenuse of a right triangle why might you approximate the answer?
1 answer:
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Solution :
Given data :
The mean length of the steel rod = 29 centimeter (cm)
The standard deviation of a normally distributed lengths of rods = 0.07 centimeter (cm)
a). We are required to find the proportion of rod that have a length of less than 28.9 centimeter (cm).
Therefore, P(x < 28.9) = P(z < (28.9-29) / 0.07)
= P(z < -1.42)
= 0.0778
b). Any rods which is shorter than cm or longer than
cm that re discarded.
Therefore,
P (x < 24.84 or 25.16 < x) = P( -59.42 < z or -54.85)
= 1.052
Answer:
Step-by-step explanation:
The given inequality is
x+ (7 + 2x) <-3x
Expand parenthesis to get
x+ 7 + 2x <-3x
Group similar terms
x+ 2x +3x<-7
Combine similar terms
6x<-7
Divide both sides by 6
Rewrite as improper fraction